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Conformal field theories and compact curves in moduli spaces

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arxiv 1709.05355 v2 pith:EEOQJNRU submitted 2017-09-15 hep-th math.AG

Ron Donagi , David R. Morrison This is my paper · ORCID
classification hep-thmath.AG
keywords compactconformalfieldmodulitheoriescurvesdimensionsfour
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abstract

We show that there are many compact subsets of the moduli space $M_g$ of Riemann surfaces of genus $g$ that do not intersect any symmetry locus. This has interesting implications for $\mathcal{N}=2$ supersymmetric conformal field theories in four dimensions.

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  1. Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy

    hep-th 2025-06 conditional novelty 7.0 of 10

    The paper conjectures that non-invertible Ising and tricritical Ising symmetries organize closed string states and D-brane categories into categorical bundles over moduli spaces of exceptional holonomy compactifications.

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